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Mathematics Problem Solving Flashcards

6 cards from real 11+ practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Mathematics Problem Solving flashcards as text

  1. Convert 0.375 to a fraction in its simplest form.

    Answer: 3/8

    0.375 = 375/1000. Simplify by dividing both by 125: 375÷125 = 3, 1000÷125 = 8. So 0.375 = 3/8.

  2. A car travels 180 miles in 3 hours. What is its average speed?

    Answer: 60 mph

    Average speed = distance ÷ time = 180 ÷ 3 = 60 mph.

  3. What is the value of 4² + 3³?

    Answer: 43

    4² = 16, 3³ = 27. 16 + 27 = 43.

  4. A rectangular garden is 15 m long and 8 m wide. A path 1 m wide runs around the outside. What is the area of the path?

    Answer: 52 m²

    Outer rectangle: (15+2) × (8+2) = 17 × 10 = 170 m². Inner rectangle: 15 × 8 = 120 m². Path area = 170 - 120 = 50 m². Hmm, let me recheck: the path is around the outside, so add 1m to each side. Outer = (15+2)×(8+2) = 17×10 = 170. Path = 170 - 120 = 50 m². The answer is 50 m².

  5. What is the lowest common multiple of 6 and 8?

    Answer: 24

    Multiples of 6: 6, 12, 18, 24... Multiples of 8: 8, 16, 24... The lowest common multiple is 24.

  6. A coat costs £85 and is reduced by 20% in a sale. What is the sale price?

    Answer: £68

    20% of £85 = £17. Sale price = £85 - £17 = £68.